As of posting Flames still have 4 picks today
Flames 3rd - 88
Islanders 4th -116: acquired from NYI in Hamonic trade
Flames 5th - 150
Canes 7th - 214: acquired from CAR in Lack trade
If you need some help tracking the picks:
https://www.nhl.com/nhl-draft/tracker
These are the picks the Flames traded away:
Flames 2nd - 57: traded to NYI in Hamonic deal
Flames 4th - 119: traded to Habs for 122 in 2018 draft (Milos Roman) . Habs later traded the pick to the Kings
Flames 6th - 181: traded to CAR in Lack trade
Flames 7th - 212: traded to OTT for Nick Shore. Sens later traded this pick CBJ in Dzingel trade